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韩英波, 蒋凯歌, 张倩玉. 具有势函数的拟-F-调和映射的若干结果[J]. 信阳师范学院学报(自然科学版), 2018, 31(1): 5-10. DOI: 10.3969/j.issn.1003-0972.2018.01.002
引用本文: 韩英波, 蒋凯歌, 张倩玉. 具有势函数的拟-F-调和映射的若干结果[J]. 信阳师范学院学报(自然科学版), 2018, 31(1): 5-10. DOI: 10.3969/j.issn.1003-0972.2018.01.002
shu
HAN Yingbo, JIANG Kaige, ZHANG Qianyu. Some Results for Quasi-F-harmonic Maps with Potential[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(1): 5-10. DOI: 10.3969/j.issn.1003-0972.2018.01.002
Citation: HAN Yingbo, JIANG Kaige, ZHANG Qianyu. Some Results for Quasi-F-harmonic Maps with Potential[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(1): 5-10. DOI: 10.3969/j.issn.1003-0972.2018.01.002
shu

具有势函数的拟-F-调和映射的若干结果

Some Results for Quasi-F-harmonic Maps with Potential

    摘要
  • 摘要: 引入了从光滑度量测度空间（M，g，e-φ（x）dvg）到黎曼流形中具有势函数的（弱）拟-F-调和映射的概念.在H和Bakry-Émery Ricci张量的条件下，利用应力-能量张量证明了上述映射的刘维尔型定理.

     

    Abstract: The notion of (weakly) quasi-F-harmonic map with potential was introduced from a smooth metric measure space (M,g,e-φ(x)dvg) into a Riemannian manifold. By using the stress-energy tensor, some Liouville type results were obtained for these maps under conditions on H and the Bakry-Émery Ricci tensor.

     

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